Orthogonal polynomials and middle Hankel operators on Bergman spaces
Volume 102 / 1992
Studia Mathematica 102 (1992), 57-75
DOI: 10.4064/sm-102-1-57-75
Abstract
We introduce a sequence of Hankel style operators $H^k$, k = 1,2,3,..., which act on the Bergman space of the unit disk. These operators are intermediate between the classical big and small Hankel operators. We study the boundedness and Schatten-von Neumann properties of the $H^k$ and show, among other things, that $H^k$ are cut-off at 1/k. Recall that the big Hankel operator is cut-off at 1 and the small Hankel operator at 0.
